(2-4b)(-5b+5)=

Solution for (2-4b)(-5b+5)= equation:

Simplifying
(2 + -4b)(-5b + 5) = 0

Reorder the terms:
(2 + -4b)(5 + -5b) = 0

Multiply (2 + -4b) * (5 + -5b)
(2(5 + -5b) + -4b * (5 + -5b)) = 0
((5 * 2 + -5b * 2) + -4b * (5 + -5b)) = 0
((10 + -10b) + -4b * (5 + -5b)) = 0
(10 + -10b + (5 * -4b + -5b * -4b)) = 0
(10 + -10b + (-20b + 20b2)) = 0

Combine like terms: -10b + -20b = -30b
(10 + -30b + 20b2) = 0

Solving
10 + -30b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + -3b + 2b2) = 0

Factor a trinomial.
10((1 + -2b)(1 + -1b)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0.5, 1}